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Finding the Fourth Proportional to 270,210.36, 405,253.85 and 101,748.45

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Solution

The fourth proportional to 270,210.36, 405,253.85 and 101,748.45 is: 152,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,210.36 : 405,253.85 = 101,748.45 : x
  2. Step 2: Convert to fraction form
    270,210.36/405,253.85 = 101,748.45/x
  3. Step 3: Cross multiply
    270,210.36x = 405,253.85 × 101,748.45
  4. Step 4: Simplify right side
    270,210.36x = 41,233,950,585.29
  5. Step 5: Solve for x
    x = 41,233,950,585.29/270,210.36
  6. Step 6: Final answer
    x = 152,599.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.